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24222322322242 = 2112100092241001
BaseRepresentation
bin1011000000111101100101…
…11010101110101101000010
310011202122001021211100112221
411200132302322232231002
511133324304003302432
6123303325315041254
75050001504420512
oct540366272565502
9104678037740487
1024222322322242
1177996a1526a00
1228725468a022a
131069202c65825
145da51c163842
152c0128d61b97
hex1607b2eaeb42

24222322322242 has 12 divisors (see below), whose sum is σ = 39936804159798. Its totient is φ = 11010146510000.

The previous prime is 24222322322207. The next prime is 24222322322251.

24222322322242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 21984273410121 + 2238048912121 = 4688739^2 + 1496011^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24222322322198 and 24222322322207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50046120259 + ... + 50046120742.

Almost surely, 224222322322242 is an apocalyptic number.

24222322322242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24222322322242 is a deficient number, since it is larger than the sum of its proper divisors (15714481837556).

24222322322242 is a wasteful number, since it uses less digits than its factorization.

24222322322242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100092241025 (or 100092241014 counting only the distinct ones).

The product of its digits is 147456, while the sum is 34.

It can be divided in two parts, 2422232 and 2322242, that added together give a palindrome (4744474).

The spelling of 24222322322242 in words is "twenty-four trillion, two hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 11 22 121 242 100092241001 200184482002 1101014651011 2202029302022 12111161161121 24222322322242